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Ancestral Rings
Published online by Cambridge University Press: 20 January 2009
Extract
A ring R is said to be a P-ancestral ring if all proper non-zero sub-rings of R have property P. If p is the property that every proper non-zero sub-ring of R is a (two-sided) ideal then the ring Z of rational integers furnishes an example of a P-ancestral ring.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 15 , Issue 2 , December 1966 , pp. 107 - 109
- Copyright
- Copyright © Edinburgh Mathematical Society 1966
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